Bounds for the Multiplicities of the Irreducible Factors of a Multivariate Polynomial

DOI10.1080/00927871003645425zbMath1269.11028OpenAlexW1980354873MaRDI QIDQ3015090

Alexandru Zaharescu, Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat

Publication date: 8 July 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927871003645425

zbMATH Keywords

square-free polynomialmultiplicity of an irreducible factor

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in real and complex fields: factorization (12D05)

Cites Work

• Irreducibility results for compositions of polynomials in several variables
• An inequality for the multiplicity of the roots of a polynomial
• Some classes of irreducible polynomials
• Square-free criteria for polynomials using no derivatives
• A Capelli type theorem for multiplicative convolutions of polynomials
• Unnamed Item

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